@trainman
Since you mentioned you actually have a Google Nest Hello Doorbell (which is installed in the Google Nest app), it might be worth exploring another alternative.
MANY of us with the older Google Nest Hello Doorbells (including all three of ours) have discovered that after a year or two, the internal battery fails. The chief symptom is that the doorbell goes offline for a minute whenever the doorbell button is pressed. I don't recall if it also causes the internal doorbell chime not to work.
There IS a workaround for THIS defect (failed internal battery). (Google Nest says they "cannot" replace it if is older than the 1-year warranty.) If you turn off the "Indoor chime" option, the doorbell no longer goes offline when the button is pressed. Of course, your indoor doorbell chime no longer works, but we now use the "Visitor announcements" option (https://support.google.com/googlenest/answer/7672451) to instead get announcements on our Nest Hubs and Nest Mini. (In this case, you still want the chime connector connected, because its purpose is to provide continuous power to the doorbell's camera.)
The thread below, with over 1,000 replies, is about the internal battery defect:
https://www.googlenestcommunity.com/t5/Cameras-and-Doorbells/Nest-Hello-Doorbell-cuts-out-when-butto...
